Question

A random sample of 25 values is drawn from a mound-shaped and symmetrical distribution. The sample mean is 10 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 9.5.

Answers

  1. Given that random sample of 25 values is drawn from a mound-shaped and symmetrical distribution. The sample mean is 10 and the sample standard deviation is 2. H0 (null hypothesis) is accepted.
    we can infer that –
    95 % CI for mean  9.1744 to 10.8256
    Since p >0.05 accept null hypothesis.
    standard deviation sigma not known.  df = 24
    H0:  x bar = 9.5
    Ha: x bar not equals 9.5
    t-statistic  1.250
    P = 0.2234
    We fail to reject null hypothesis
    There is no statistical evidence at 5% level to fail to reject H0
    To learn more about hypothesis testing from the given link
    #SPJ4

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